3961760 has 48 divisors (see below), whose sum is σ = 10215072. Its totient is φ = 1440000.

The previous prime is 3961759. The next prime is 3961781. The reversal of 3961760 is 671693.

3961760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 635 + ... + 2885.

It is an arithmetic number, because the mean of its divisors is an integer number (212814).

Almost surely, 2^3961760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3961760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5107536).

3961760 is an abundant number, since it is smaller than the sum of its proper divisors (6253312).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3961760 is a wasteful number, since it uses less digits than its factorization.

3961760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2277 (or 2269 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 32.

The square root of 3961760 is about 1990.4170417277. The cubic root of 3961760 is about 158.2326327975.

The spelling of 3961760 in words is "three million, nine hundred sixty-one thousand, seven hundred sixty".